is it ~p ^ ~q? and is the difference of ==> and ^
2007-08-24 10:37:09 · 4 answers · asked by Titan 2 in Science & Mathematics ➔ Mathematics
What is the negation of p > q?
is it ~p ^ ~q? and what is the difference of ==> and ^
2007-08-24 10:54:37 · update #1
I disagree with first responder. It is p <= q. First responder can be correct only if the ">" sign is taken as implication or set membership, but the usual sign for that is a U on its side.
2007-08-24 10:47:12 · answer #1 · answered by Anonymous · 0⤊ 1⤋
You are right. Negation means the opposite of truth.
p becomes ~p
the word and = ^
q becomes ~q
However, we change direction of the arrow from ---> to <----
Then ~p <--- ~q
2007-08-24 17:49:05 · answer #2 · answered by Anonymous · 0⤊ 0⤋
You are correct: ~p --> ~q.
The symbol ^ is "and" (if I recall correctly). p ^ q is true only when p is true and q is true; if either is false then p ^ q is false.
2007-08-24 17:44:21 · answer #3 · answered by Mathsorcerer 7 · 0⤊ 0⤋
p > q
negates to
-p < -q
2007-08-24 17:48:34 · answer #4 · answered by vlee1225 6 · 0⤊ 0⤋